The Polypermutation Group of an Associative Ring

Authors

  • Jason K. C. Polak School of Mathematics and Statistics, The University of Melbourne, Parkville, Victoria 3010, Australia

DOI:

https://doi.org/10.37256/cm.212021456

Keywords:

permutation group, polynomial, associative ring

Abstract

We study permutation polynomials through the device of the polypermutation group of an associative ring R, denoted by Pgr(R). We derive some basic properties and compute the cardinality of Pgr(Z/pk ) when p ≥ k. We use this computation to determine the structure of Pgr(Z/p2 ).

References

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Published

2021-01-08

Issue

Contemporary Mathematics, Volume 2 Issue 1 (2021), 1-102

Section

Research Article

How to Cite

1.
The Polypermutation Group of an Associative Ring. Contemp. Math. [Internet]. 2021 Jan. 8 [cited 2025 Dec. 24];2(1):15-23. Available from: https://ojs353.mebyme.cn/index.php/CM/article/view/456